There are 8 students in a class. 5 of them are selected to form a committee where each member is assigned a unique position in the committee (President, Vice President, etc.) How many different committees are possible

Step-by-step explanation:

This is a classic permutation problem. We are given the number of permutations of 8 things taken 5 at a time

And we have the formula:

P (n, r) = n! / (n - r) !

P (8, 5) = 8! / (8 - 5) !

= 8x7x6x5x4x3x2x1 / 3x2x1

= 6720